Practical fixed-time intermittent control of coupled neutral complex networks

This paper aims to investigate the practical fixed-time control of coupled neutral complex networks (CNCNs) with mismatched parameters.New intermittent fixed-time stability lemmas are established, formulated using indefinite functions and unified exponent conditions on the Lyapunov function. These lemmas incorporate and improve upon previous results.Taking into account the unavailability of global information in practical scenarios, intermittent-type practical fixed-time stability lemmas are derived, which extend and enhance the previously negative definite conditions.New estimations of the settling-time required to reach the residual set are provided.Based on the newly established stability lemmas, the fixed-time stability and practical fixed-time stability of the considered CNCNs are analyzed. The designed controllers incorporate the arctangent function, ensuring that the control values remain bounded. This approach addresses the issue of high control gains effectively. Finally, numerical simulations of a drilling system modeled by CNCNs with mismatched parameters are presented to validate the main results.